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Finding the Fourth Proportional to 25,234.86, 34,822.86 and 14,627.94

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Solution

The fourth proportional to 25,234.86, 34,822.86 and 14,627.94 is: 20,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.86 : 34,822.86 = 14,627.94 : x
  2. Step 2: Convert to fraction form
    25,234.86/34,822.86 = 14,627.94/x
  3. Step 3: Cross multiply
    25,234.86x = 34,822.86 × 14,627.94
  4. Step 4: Simplify right side
    25,234.86x = 509,386,706.71
  5. Step 5: Solve for x
    x = 509,386,706.71/25,234.86
  6. Step 6: Final answer
    x = 20,185.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.